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Exercise 4.5.20

Avg difficulty 3.0

Which of the following matrices is right invertible? Find a right inverse if one exists. If possible, find two different right inverses.

A=[123010]B=[112224]C=[121001]D=[1223]A=\left[\begin{array}{ccc}1&2&3\\ 0&1&0\\ \end{array}\right]\qquad B=\left[\begin{array}{ccc}1&1&2\\ 2&2&4\\ \end{array}\right]\qquad C=\left[\begin{array}{cc}1&2\\ 1&0\\ 0&1\\ \end{array}\right]\qquad D=\left[\begin{array}{cc}1&2\\ 2&3\\ \end{array}\right]

Selinger, Matrix Theory and Linear Algebra, Matrices, Matrix inverses, Exercise 4.5.20

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Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.